44 citations · 290 across the 45 of their papers we have counts for
3 papers · 1 filter
Long time behavior of the master equation in mean-field game theory
Pierre Cardaliaguet, Alessio Porretta
Mean Field Game (MFG) systems describe equilibrium configurations in games with infinitely many interacting controllers. We are interested in the behavior of this system as the hor…
On the existence of correctors for the stochastic homogenization of viscous hamilton-jacobi equations
Pierre Cardaliaguet, Panagiotis Souganidis
We prove, under some assumptions, the existence of correctors for the stochastic homoge-nization of of " viscous " possibly degenerate Hamilton-Jacobi equations in stationary ergod…
Perturbation problems in homogenization of hamilton-jacobi equations
Pierre Cardaliaguet, Claude Le Bris, Panagiotis Souganidis
This paper is concerned with the behavior of the ergodic constant associated with convex and superlinear Hamilton-Jacobi equation in a periodic environment which is perturbed eithe…